320=(2x+12)(2x*16)

Solution for 320=(2x+12)(2x*16) equation:

Simplifying
320 = (2x + 12)(2x * 16)

Reorder the terms:
320 = (12 + 2x)(2x * 16)

Reorder the terms for easier multiplication:
320 = (12 + 2x)(2 * 16x)

Multiply 2 * 16
320 = (12 + 2x)(32x)

Remove parenthesis around (32x)
320 = (12 + 2x) * 32x

Reorder the terms for easier multiplication:
320 = 32x(12 + 2x)
320 = (12 * 32x + 2x * 32x)
320 = (384x + 64x2)

Solving
320 = 384x + 64x2

Solving for variable 'x'.

Reorder the terms:
320 + -384x + -64x2 = 384x + -384x + 64x2 + -64x2

Combine like terms: 384x + -384x = 0
320 + -384x + -64x2 = 0 + 64x2 + -64x2
320 + -384x + -64x2 = 64x2 + -64x2

Combine like terms: 64x2 + -64x2 = 0
320 + -384x + -64x2 = 0

Factor out the Greatest Common Factor (GCF), '64'.
64(5 + -6x + -1x2) = 0

Ignore the factor 64.
Subproblem 1
Set the factor '(5 + -6x + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -6x + -1x2 = 0

Solving
5 + -6x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-5 + 6x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 6x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 6x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6x + x2 = 0 + 5
6x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
6x + x2 = 5

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 5 + 9

Reorder the terms:
9 + 6x + x2 = 5 + 9

Combine like terms: 5 + 9 = 14
9 + 6x + x2 = 14

Factor a perfect square on the left side:
(x + 3)(x + 3) = 14

Calculate the square root of the right side: 3.741657387

Break this problem into two subproblems by setting 
(x + 3) equal to 3.741657387 and -3.741657387.

Subproblem 1
x + 3 = 3.741657387

Simplifying
x + 3 = 3.741657387

Reorder the terms:
3 + x = 3.741657387

Solving
3 + x = 3.741657387

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 3.741657387 + -3

Combine like terms: 3 + -3 = 0
0 + x = 3.741657387 + -3
x = 3.741657387 + -3

Combine like terms: 3.741657387 + -3 = 0.741657387
x = 0.741657387

Simplifying
x = 0.741657387

Subproblem 2
x + 3 = -3.741657387

Simplifying
x + 3 = -3.741657387

Reorder the terms:
3 + x = -3.741657387

Solving
3 + x = -3.741657387

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = -3.741657387 + -3

Combine like terms: 3 + -3 = 0
0 + x = -3.741657387 + -3
x = -3.741657387 + -3

Combine like terms: -3.741657387 + -3 = -6.741657387
x = -6.741657387

Simplifying
x = -6.741657387

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.741657387, -6.741657387}
Solution
x = {0.741657387, -6.741657387}